Additive subgroups of topological vector spaces

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Last edited by MARC Bot
September 30, 2024 | History

Additive subgroups of topological vector spaces

The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book sets out to present in a systematic way the existing material. It is based on the original notion of a nuclear group, which includes LCA groups and nuclear locally convex spaces together with their additive subgroups, quotient groups and products. For (metrizable, complete) nuclear groups one obtains analogues of the Pontryagin duality theorem, of the Bochner theorem and of the Lévy-Steinitz theorem on rearrangement of series (an answer to an old question of S. Ulam). The book is written in the language of functional analysis. The methods used are taken mainly from geometry of numbers, geometry of Banach spaces and topological algebra. The reader is expected only to know the basics of functional analysis and abstract harmonic analysis.

Publish Date
Publisher
Springer-Verlag
Language
English
Pages
178

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Previews available in: English

Edition Availability
Cover of: Additive subgroups of topological vector spaces
Additive subgroups of topological vector spaces
1991, Springer-Verlag
in English

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Book Details


Edition Notes

Includes bibliographical references (p. [168]-173) and indexes.

Published in
Berlin, New York
Series
Lecture notes in mathematics ;, 1466, Lecture notes in mathematics (Springer-Verlag) ;, 1466.

Classifications

Dewey Decimal Class
510 s, 515/.73
Library of Congress
QA3 .L28 no. 1466, QA322 .L28 no. 1466, QA612-612.8, QA252.3, QA387

The Physical Object

Pagination
vi, 178 p. :
Number of pages
178

ID Numbers

Open Library
OL1535263M
Internet Archive
additivesubgroup00bana
ISBN 10
0387539174, 3540539174
LCCN
91013190
OCLC/WorldCat
23653715
Goodreads
4887779

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History

Download catalog record: RDF / JSON
September 30, 2024 Edited by MARC Bot import existing book
January 7, 2020 Edited by ImportBot import existing book
February 26, 2019 Edited by MARC Bot import existing book
December 4, 2010 Edited by Open Library Bot Added subjects from MARC records.
December 10, 2009 Created by WorkBot add works page